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Alexander Moreno

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#artificial intelligence Preprint Oct 2026

Taming Softmax at the Limits of Muon: A Unified Approach through Hilbert Geometry

Muon controls weight updates through the RMS movement of a linear layer's output. This implicitly treats the linear output as a proxy for the full module, including the nonlinearity that follows. This proxy can be misleading for softmax, where the RMS shift in activations does not faithfully measure the change in the o...

Aditya Somasundaram, Charles Guille-Escuret, Alexander Moreno et al. · 0 citations
Preprint Aug 2026

Toward a First-Principles Update Geometry for the Language-Model Head

Muon motivates designing optimizer geometry around the function of each parameter block and uses the spectral norm for hidden linear layers. For the language-model head, the spectral norm is not a faithful measure of functional change. Softmax removes shared logit shifts, whereas the spectral norm can assign arbitraril...

Aditya Somasundaram, Charles Guille-Escuret, Alexander Moreno et al. · 0 citations
#machine learning Preprint Dec 2025

K2-V2: A 360-Open, Reasoning-Enhanced LLM

K2-V2 is introduced, a 360-open LLM built from scratch as a superior base for reasoning adaptation, in addition to functions such as conversation and knowledge retrieval from general LLMs, to empower the community with a capable, reasoning-centric foundation.

K2 Team Zhengzhong Liu, Liping Tang, Ling-Hao Jin et al. · 0 citations
#machine learning Preprint Sep 2026

Unlocking Lossless Speedups in LLMs via Discrete Diffusion

Large Language Models (LLMs) owe much of their success to next-token prediction (NTP), but their autoregressive (AR) structure requires slow, sequential token generation. To overcome this bottleneck, we introduce diffusion-augmented LLMs, a new class of models that defines an AR model distribution while using diffusion...

S. Sahoo, Ling-Jie Chen, Khiem Pham et al. · 1 citation

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